The value of the integral int(-pi//2)^(p...

The value of the integral `int_(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi+x)) cos x dx `

A

(a) `0`

B

(b) `(pi^(2))/2-4`

C

(c) `(pi^(2))/2+4`

D

(d) `(pi^(2))/2`

Verified by Experts

The correct Answer is:

B

Similar Questions

Explore conceptually related problems

The value of int_(-pi//2)^(pi//2)( 3sinx+sin^(3)x)dx is

The value of integral int _(1//pi)^(2//pi)(sin(1/x))/(x^(2))dx=

int_(pi//6)^(pi//4)cosec 2x dx=

The value of the integral int_(0)^((pi)/4)(sqrt(tanx))/(sinx cos x) dx equals

int_(-pi/4)^(pi/4)(dx)/(1+cos2x) is

Evaluate: \int_(pi/4)^(pi/2) cot^2 x dx

int_(0)^(pi//4)x sec^(2)x " " dx =

int_(0)^(pi)log sin^(2)x dx=

int_(0)^((pi)/2)cos^(6)x dx=

The value of the integral int(-pi//2)^(pi//2) (x^(2) + log" (pi-x)/(pi...
Text Solution
|
The value of int(-(pi)/(2))^((pi)/(2))sin{log(x+sqrt(x^(2)+1))}dx is
Text Solution
|
The value of the integral int(-pi/2)^(pi/2) (x^2+ln((pi+x)/(pi-x))) c...
Text Solution
|
The value of int(ln pi-ln2)^(ln pi)(e^(x))/(1-cos(((2)/(3))e^(x)))dx=
Text Solution
|
Using integral int(0)^(-(pi)/(2))ln(sin x)dx=-int(0)^( pi)ln(sec x)dx=...
Text Solution
|
The value of the integral int(a)^(a+pi/2)(|sin x|+|cos x|)dx, is
Text Solution
|
The value of the integral int(-pi//2)^(pi//2) (x^(2)+ln'(pi+x)/(x-a)) ...
Text Solution
|
सिद्ध कीजिए की int(0)^(pi//2) log cos x dx = int(0)^(pi//2) log(e) (...
Text Solution
|
int(-pi//2)^(pi//2) (x^(2)+log (pi+x)/(pi-x)) cos x dx का मान ज्ञात की...
Text Solution
|